A Tauberian Approach to an Analog of Weyl's law for the Kohn Laplacian on Compact Heisenberg Manifolds

Colin Fan, Elena Kim, Yunus E. Zeytuncu

Let $M=\Gamma \setminus {\mathbb{H}}_d$ be a compact quotient of the $d$-dimensional Heisenberg group ${\mathbb{H}}_d$ by a lattice subgroup $\Gamma$. We show that the eigenvalue counting functi…